The transcript is for your convenience For example, if we wanted to find the LCM of 18 and 30, we would first need to factor them. 18 is 2*9. Since 9 is not prime, we would factor to 3*3.

30 is also even, so we’ll start with 2. 30 is 2*15, 15 is not prime, so we factor 15. 15 is 3*5.

The GCF, or greatest common factor, is 2*3, or 6.

So, our least common multiple is the product of our GCF, 6, and the remaining factors. The remaining factors are 3 and 5, so 6*3*5. 6*5 is 30, 30*3 is 90. So, the smallest number that 18 and 30 will both divide into evenly is 90.